88780038803856 has 225 divisors, whose sum is σ = 258316175415441. Its totient is φ = 29437425782784.

The previous prime is 88780038803851. The next prime is 88780038803857. The reversal of 88780038803856 is 65830883008788.

The square root of 88780038803856 is 9422316.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 70162401690000 + 18617637113856 = 8376300^2 + 4314816^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (88780038803851) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 76999165776 + ... + 76999166928.

Almost surely, 2^{88780038803856} is an apocalyptic number.

88780038803856 is the 9422316-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88780038803856

88780038803856 is an abundant number, since it is smaller than the sum of its proper divisors (169536136611585).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

88780038803856 is an frugal number, since it uses more digits than its factorization.

88780038803856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2780 (or 1385 counting only the distinct ones).

The product of its (nonzero) digits is 495452160, while the sum is 72.

The spelling of 88780038803856 in words is "eighty-eight trillion, seven hundred eighty billion, thirty-eight million, eight hundred three thousand, eight hundred fifty-six".